Huffpost Science

Here's Proof That Beautiful Math Equations Affect The Brain Just Like Great Art

Posted: Updated:

What's beautiful to you? A sunset? The face of a loved one? A favorite poem or song?

Mathematicians sometimes say they find beauty in mathematical formulas, and a new brain scan study confirms that equations can activate the brain in much the same way that great art does.

"To many of us, mathematical formulae appear dry and inaccessible, but to a mathematician an equation can embody the quintessence of beauty," study author Dr. Semir Zeki, professor of neuroesthetics at University College London, said in a written statement. "The beauty of a formula may result from simplicity, symmetry, elegance or the expression of an immutable truth."

For the study, which was published in the journal Frontiers in Human Neuroscience, Zeki and his colleagues recruited from local colleges 16 male and female mathematicians between the ages of 22 and 32. The mathematicians were asked to review 60 mathematical formulas and to rate them on a scale ranging from minus five (ugly) to plus five (beautiful). Two weeks later they re-rated the equations while in a functional MRI (fMRI) scanner.

fMRI scanners show neurological activity by measuring changes in the flow of blood inside the brain. The scans in the study showed that appreciating beautiful formulas is correlated with activity in the medial orbito-frontal cortex, a region at the front of the brain. Appreciating art or music is correlated with activity in that same region.

Srinivasa Ramanujan's infinite series (below) and Riemann's functional equation didn't fare well in the study. They were rated ugliest.

final formula
Srinivasa Ramanujan’s infinite series of 1/pi, which was rated as the ugliest mathematical formula.

Which of the 60 math formulas were rated as especially beautiful? There were three: the Pythagorean identity, the Cauchy-Riemann equations, and Leonhard Euler's identity (see above, top).

"It's a real classic, and you can do no better than that," Dr. David Percy, a professor affiliated with the Institute of Mathematics and Its Applications in the U.K., told the BBC about Euler's identity. "It is simple to look at and yet incredibly profound, it comprises the five most important mathematical constants... It also comprises the three most basic arithmetic operations--addition, multiplication, and exponentiation."

Dr. Steven Strogatz, professor of applied mathematics at Cornell University in Ithaca, NY, offered a different take on the new research. "Some beautiful equations are like art, but others are more like great jokes," he told The Huffington Post in an email. "They're surprising and true at the same time. That's what makes them so delightful."

Also on HuffPost:

Close
10 Unusual Thought Experiments
of
Share
Tweet
Advertisement
Share this
close
Current Slide

Suggest a correction

Around the Web

Love and Math: Equations as an Equalizer for Humanity | Brain ...

BBC News - Mathematics: Why the brain sees maths as beauty

Mathematics and the Brain - Feature Column from the AMS

Elegant Mathematical Formulas Activate the Same Brain Region As ...

MRI Study Shows How The Brain Finds Beauty In Mathematics

Brain Recognizes Beauty of Math Like Art, Music

Mathematical beauty activates same brain region as great art or music

Study says mathematicians see math as beautiful as art

Maths hits same sweet spot in brain as do music and art: Study

Mathematical beauty activates same brain region as great art or ...